Answer:
x = 1/3
or it's no solution
An airplane is flying in the direction of 30 degrees South of East at 500 mph. A wind is blowing in the direction of 45 degrees North of East at 55 mph. Find the direction angle of the airplane’s path, adjusted for the wind.
Answer:
B
Step-by-step explanation:
The angle of the airplane’s path is = [tex](\frac{250\sqrt{2}+55}{\sqrt{2}} )[/tex]î +[tex](\frac{250\sqrt{6}-55 }{2})[/tex]ĵ
what is vector?A vector is defined as a quantity which has two independent properties magnitude and direction.
î & ĵ denote two unit vectors along East & North directions respectively.
V1 denotes velocity vector direction of airplan of 30 degrees South of East at 500 mph
V2 denotes velocity vector wind the direction of 45 degrees North of East at 55 mph
V denotes the actual velocity vector of the given plane.
Hence from above data we get following descriptions,
V1 = 500.(sin 30°).î + 450.(cos 30°).ĵ
= 500.(1/2).î + 500(√3/2.ĵ
= 250î + 250√3ĵ
V2 = 55(sin 45°).î - 55(cos 45°).ĵ
= 55[1/√2].î - 55[1/√2]ĵ
V = V1 + V2
= 250î + 250√3ĵ +55[1/√2].î - 55[1/√2]ĵ
= 250î +55[1/√2].î + 250√3ĵ - 55[1/√2]ĵ
= [tex](\frac{250\sqrt{2}+55}{\sqrt{2}} )[/tex]î +[tex](\frac{250\sqrt{6}-55 }{2})[/tex]ĵ
Hence the angle of the airplane’s path is = [tex](\frac{250\sqrt{2}+55}{\sqrt{2}} )[/tex]î +[tex](\frac{250\sqrt{6}-55 }{2})[/tex]ĵ
Learn more about vector
https://brainly.com/question/24256726
#SPJ2
can you help i need to finish this by today!
A car travels 266 miles in 7 hours. If it travels at a constant rate, how many miles does the car travel in a 1 hour
Answer:
38 miles per hour
Step-by-step explanation:
If u divide 266 to 7 it would be going 38 per hour
Answer:
its 38
Step-by-step explanation:
it was correct for me
what is 8.41 times 10 to the negative 5th power minus 7.9 times 10 to the negative 6th power?
Answer:
the answer is 841000
Step-by-step explanation:
brainliest if correct... plz
What is the percent lost ?? Please help
35/35-14/35=21/35=0.6=60%
What is 7/8 in decimal and percentage form?
Answer:
0.875
Step-by-step explanation:
Answer:
0.875 and 87.5%
Step-by-step explanation:
2 Fred and Ted each have a savings account. Fred's savings account is represented in the table below.
Ted's savings account is represented by the graph.
Fred's Account
Ted's Account
Number of Weeks Amount in Savings
200
Account (5)
0
50
175
60
125
100
1
150
70
80
Amount Saved (5)
75
sol
21
Number of weeks
Part A Find the rate of change for the two accounts
Fred saves $_ per week
Ted saves 5 per week
Part B: Identify the initial value for the two accounts
Freds
Ted: S
Answer:
you have to divide all the numbers and see what it is
120 caleriess in 2 servings 360 caleries in 6 servings
Answer:
60 calories per serving
Step-by-step explanation:
Divide to find the unit rate of calories per serving.
120 / 2 = 60
360 / 60 = 60
Best of Luck!
Given a
6 and a common
difference of – 12, find the
18th term in the sequence.
Answer:-210
Step-by-step explanation:6, -6, -18, so, you multiply -12 by 18, and you can find that number. -12 times 18=-216, and -216+the first number 6, equals 210
What is the degree of the power function represented in the table?
Answer:
3 I think my fault if it's wrou
Answer:
2
Step-by-step explanation:
took the test
What is the permittee of the shaded figure ?? Please help
Answer: 96
Step-by-step explanation:
12x6= 96
times 12 which is the y axis and 6 which is the x axis. which would give you the shaded figure.
A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost
Answer:
$49.12
Step-by-step explanation:
Given the function h(x)=x^2-5x-1, determine the average rate of change of the function over the interval −2≤x≤5.
Answer: -2
Step-by-step explanation:
?...
1 + (-2 - 5) to the 2nd power + -3 x 4
Answer:
-3
Step-by-step explanation:
(1 + (-2-5))^2+-3X4
(1+(-3))^2 + -12
-3^2 -12
9-12
-3
ASAP- What does it mean to add less than nothing to something
Answer:
A negative integer and makes stuff subtract
Step-by-step explanation:
What on earth is: 1.92/3 = ? Please help me idk how to do this ;-;
Answer:0.64
Step-by-step explanation:
i need hellppppppppppp
Answer:
y = 25x + 100
Step-by-step explanation:
You're welcome!
Evaluate the expression.
When x = 10
X2 - 8x + 11
Answer:
31
Step-by-step explanation:
Help with a and b? Thank you
Step-by-step explanation:
Given data:
Cars Vans Others
60 21 3
The data represents the number of cars on a single day.
Find the relative frequency;
It is the number of times an event occurs.
Here the time frame is within a day;
Relative frequency = [tex]\frac{number of cars + number of vans + others}{number of days}[/tex]
Relative frequency = 60 + 21 + 3 = 84vehicles per day
ii.
Number of vans in a week;
Number vans in a week = 21van per day x 7 days = 147vans
Determine whether this has a maximum or a minimum.
A.
maximum
B.
minimum
C.
both
D.
Not Enough Information
Answer:
A). minimum
Step-by-step explanation:
Can I get Help on explaination of this?
Answer:
The measure of the outside angle is the sum of the two inside angles:
68+52=120
Or you could do it the long way and find the third angle inside the triangle then do 180 minus that but this is easier.
Step-by-step explanation:
PLEASE HELP 20 points
Angelo has $5.50 for lunch. He guys a cookie for $1.05
and a drink for 1.45. How much money does Angelo
have left?
Answer:
Angelo has $3 dollars left
Step-by-step explanation:
$1.05+$1.45= 2.50
$5.50-$2.50= $3
Answer:
$3
Step-by-step explanation:
$5.50 - $1.05 = $4.45
$4.45 - $1.45 = $3.00
2.Yolanda is buying supplies for school. She buys n packages of pels at $1.40 per package and m pads of paper at $1.20 each. What does each term in the expression 1.4n + 1.20m represent? What does the entire expression represent? Interpret the meaning of the term 1.4n. What does the coefficient 1.4 represent? Interpret the meaning of the term 1.20p. What does the coefficient 1.20 represent?
Answer: 1.4n represents the cost of n packages of pels.
1.20m represents cost of m pads.
Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.
Meaning of 1.4n = cost of n packages of pels.
Meaning of 1.20 m = represents cost of m pads.
where , 1.4 = Cost per package of pels
1.2 =Cost per pad of paper
Step-by-step explanation:
Given: Cost per package of pels = $1.40
Cost per pad of paper = $1.20
Number of packages of pels bought = n
Number of pads of paper bought = m
So, 1.4n represents the cost of n packages of pels.
1.20m represents cost of m pads.
Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.
Meaning of 1.4n = cost of n packages of pels.
Meaning of 1.20 m = represents cost of m pads.
where , 1.4 = Cost per package of pels
1.2 =Cost per pad of paper
can somone please help with this, will give brainliest.
Bamboo is one of fastestfastest-growing plants. A typical growth rate for bamboo in temperate climates is 3-10 centimeters per day during the growth season. Which of the following equations, where t represents time in days, L represents length in cm, which could be described of the growth of a bamboo plant?
Answer: maybe c or d, but I could be wrong :/
Step-by-step explanation:
Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent?
Answer:
[tex]Percent = \frac{100a}{b}\%[/tex]
Step-by-step explanation:
Given
[tex]\frac{a}{b}[/tex]
Required
Convert to fraction
To do this, we simply multiply the fraction by 100%
This gives:
[tex]Percent = \frac{a}{b} * 100\%[/tex]
[tex]Percent = \frac{a * 100}{b}\%[/tex]
[tex]Percent = \frac{100a}{b}\%[/tex]
The expression cannot be further simplified.
Take for instance the fraction is: [tex]\frac{2}{5}[/tex]
Using the same analysis, the percentage would be:
[tex]Percent = \frac{2}{5} * 100\%[/tex]
[tex]Percent = \frac{2 * 100}{5}\%[/tex]
[tex]Percent = \frac{200}{5}\%[/tex]
[tex]Percent = 40\%[/tex]
Answer:
100(a divided by b)
Step-by-step explanation:
hope this helps tell me if im wroung
write QF if it's Quadratic function and NQF if Not a Quadratic function
Answer:
1. QF2. NQF3. NQF4. QF5. QF6. Undefined, unclearStep-by-step explanation:
1. f(x) = x^2 + 2
It is a quadratic function as in the format of y = ax^2 + bx + c2. f(x) = 2x - 10
It is linear function, not quadratic3. It is linear function as y- is an arithmetic sequence
Not a quadratic function4. As per the pairs we can determine the function:
y = 1/2x^2 + 1/2xIt is a quadratic function5. The graph is parabola
It is a quadratic function6. Undefined as not clear what is it
yo can someone help me plz, i would app it
Answer:
Parallel line - y=6x+9
Perpendicular line - y=-1/6x +4
Step-by-step explanation:
Parallel lines have a slope that is equal to the origninal equation. You use the y-y1=m(x-x1) equation. In this case, your y1 is 3 and your x1 is -1. Plug these into the equation along with your slope of 6.
y-y1=m(x-x1)
y-3=6(x-(-1))
y-3=6(x+1)
y-3=6x+6 - Distribute
+3 +3 - Add 3 to both sides
y=6x+9
For perpendicular lines, the slope is the negative reciprocal of the given slope. In this case, the slope is -1/6. Your y1 is 4 and your x1 is 0.
y-y1=m(x-x1)
[tex]y - 4 = - \frac{1}{6} (x - 0)[/tex]
Distribute:
[tex]y - 4 = - \frac{1}{6} x[/tex]
+4 +4
Add 4 to both sides:
[tex]y = - \frac{1}{6} x + 4[/tex]
what is the equation of the line containing the points (4,2) and (-5, 1)? Write your answer in slope-form. PPPPPLLLLLLLLLLLEEEEEEEEASE HELP
Answer:
y=-1/9x+2.44
Step-by-step explanation:
m=y2-y1/x2-x1
1-2=(-1)
(-5)-4=(-9)
-1/9
y=mx+b
2=-1/9(4)+b
-1/9*4=-0.44444444444
-0.444.... rounded is -0.44
(-0.44)-(-0.44) =0
2-(-0.44 )=2.44
y=-1/9x+2.44
hope this helps
sorry if im wrong i had a lil trouble on this one :(
jose bought 4.75 pounds of pecans at $5.80 per pound. how much did jose pay for the pecans
Answer:
27.55
Step-by-step explanation:
4.75 times 5.80 is 27.55
Hope it helps!